Properties

Label 483.2.bf.a.178.20
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.20
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.739640 - 0.0706270i) q^{2} +(0.690079 + 0.723734i) q^{3} +(-1.42178 + 0.274025i) q^{4} +(-3.42445 - 1.76543i) q^{5} +(0.561525 + 0.486564i) q^{6} +(2.62322 - 0.344549i) q^{7} +(-2.45806 + 0.721753i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(0.739640 - 0.0706270i) q^{2} +(0.690079 + 0.723734i) q^{3} +(-1.42178 + 0.274025i) q^{4} +(-3.42445 - 1.76543i) q^{5} +(0.561525 + 0.486564i) q^{6} +(2.62322 - 0.344549i) q^{7} +(-2.45806 + 0.721753i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-2.65755 - 1.06392i) q^{10} +(0.416487 - 4.36165i) q^{11} +(-1.17946 - 0.839891i) q^{12} +(-5.31123 + 0.763640i) q^{13} +(1.91590 - 0.440112i) q^{14} +(-1.08544 - 3.69668i) q^{15} +(0.921346 - 0.368851i) q^{16} +(-1.85101 - 5.34814i) q^{17} +(0.0353535 + 0.742162i) q^{18} +(0.381157 - 1.10128i) q^{19} +(5.35258 + 1.57166i) q^{20} +(2.05959 + 1.66075i) q^{21} -3.25546i q^{22} +(-3.27799 - 3.50069i) q^{23} +(-2.21862 - 1.28092i) q^{24} +(5.70984 + 8.01835i) q^{25} +(-3.87447 + 0.939935i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(-3.63522 + 1.20870i) q^{28} +(-1.18291 + 1.36515i) q^{29} +(-1.06392 - 2.65755i) q^{30} +(-7.88041 - 1.91177i) q^{31} +(5.20952 - 2.68569i) q^{32} +(3.44408 - 2.70846i) q^{33} +(-1.74680 - 3.82497i) q^{34} +(-9.59136 - 3.45121i) q^{35} +(-0.206064 - 1.43321i) q^{36} +(-0.105084 - 0.00500575i) q^{37} +(0.204139 - 0.841471i) q^{38} +(-4.21784 - 3.31695i) q^{39} +(9.69172 + 1.86793i) q^{40} +(5.99008 + 9.32075i) q^{41} +(1.64065 + 1.08289i) q^{42} +(-0.630678 + 2.14789i) q^{43} +(0.603050 + 6.31543i) q^{44} +(1.92637 - 3.33657i) q^{45} +(-2.67177 - 2.35773i) q^{46} +(4.42578 - 2.55522i) q^{47} +(0.902751 + 0.412273i) q^{48} +(6.76257 - 1.80766i) q^{49} +(4.78954 + 5.52742i) q^{50} +(2.59329 - 5.03028i) q^{51} +(7.34214 - 2.54114i) q^{52} +(-1.31169 + 1.66795i) q^{53} +(-0.512731 + 0.537737i) q^{54} +(-9.12641 + 14.2010i) q^{55} +(-6.19937 + 2.74024i) q^{56} +(1.06006 - 0.484114i) q^{57} +(-0.778507 + 1.09326i) q^{58} +(-2.87353 + 7.17773i) q^{59} +(2.55624 + 4.95842i) q^{60} +(2.23950 + 2.13536i) q^{61} +(-5.96369 - 0.857449i) q^{62} +(0.219341 + 2.63664i) q^{63} +(1.99370 - 1.28127i) q^{64} +(19.5362 + 6.76155i) q^{65} +(2.35609 - 2.24653i) q^{66} +(7.65327 - 5.44987i) q^{67} +(4.09725 + 7.09665i) q^{68} +(0.271497 - 4.78814i) q^{69} +(-7.33790 - 1.87524i) q^{70} +(0.511216 - 1.11941i) q^{71} +(-0.603976 - 2.48962i) q^{72} +(-1.37375 - 7.12770i) q^{73} +(-0.0780776 + 0.00371929i) q^{74} +(-1.86291 + 9.66571i) q^{75} +(-0.240142 + 1.67022i) q^{76} +(-0.410265 - 11.5851i) q^{77} +(-3.35395 - 2.15545i) q^{78} +(2.80593 + 3.56803i) q^{79} +(-3.80628 - 0.363456i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(5.08880 + 6.47093i) q^{82} +(-11.1193 - 7.14593i) q^{83} +(-3.38337 - 1.79684i) q^{84} +(-3.10306 + 21.5823i) q^{85} +(-0.314775 + 1.63321i) q^{86} +(-1.80430 + 0.0859494i) q^{87} +(2.12428 + 11.0218i) q^{88} +(-1.96514 - 8.10042i) q^{89} +(1.18917 - 2.60391i) q^{90} +(-13.6694 + 3.83318i) q^{91} +(5.61985 + 4.07895i) q^{92} +(-4.05450 - 7.02259i) q^{93} +(3.09301 - 2.20252i) q^{94} +(-3.24948 + 3.09838i) q^{95} +(5.53870 + 1.91696i) q^{96} +(-11.3932 + 7.32197i) q^{97} +(4.87420 - 1.81463i) q^{98} +(4.33689 + 0.623551i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.739640 0.0706270i 0.523004 0.0499408i 0.169784 0.985481i \(-0.445693\pi\)
0.353220 + 0.935540i \(0.385087\pi\)
\(3\) 0.690079 + 0.723734i 0.398417 + 0.417848i
\(4\) −1.42178 + 0.274025i −0.710889 + 0.137013i
\(5\) −3.42445 1.76543i −1.53146 0.789523i −0.533061 0.846077i \(-0.678958\pi\)
−0.998400 + 0.0565538i \(0.981989\pi\)
\(6\) 0.561525 + 0.486564i 0.229242 + 0.198639i
\(7\) 2.62322 0.344549i 0.991484 0.130227i
\(8\) −2.45806 + 0.721753i −0.869057 + 0.255178i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) −2.65755 1.06392i −0.840390 0.336441i
\(11\) 0.416487 4.36165i 0.125576 1.31509i −0.684609 0.728911i \(-0.740027\pi\)
0.810184 0.586176i \(-0.199367\pi\)
\(12\) −1.17946 0.839891i −0.340481 0.242456i
\(13\) −5.31123 + 0.763640i −1.47307 + 0.211796i −0.831610 0.555360i \(-0.812581\pi\)
−0.641461 + 0.767155i \(0.721671\pi\)
\(14\) 1.91590 0.440112i 0.512047 0.117625i
\(15\) −1.08544 3.69668i −0.280260 0.954477i
\(16\) 0.921346 0.368851i 0.230336 0.0922128i
\(17\) −1.85101 5.34814i −0.448936 1.29712i −0.911781 0.410676i \(-0.865293\pi\)
0.462845 0.886439i \(-0.346828\pi\)
\(18\) 0.0353535 + 0.742162i 0.00833291 + 0.174929i
\(19\) 0.381157 1.10128i 0.0874434 0.252651i −0.892798 0.450458i \(-0.851261\pi\)
0.980241 + 0.197807i \(0.0633819\pi\)
\(20\) 5.35258 + 1.57166i 1.19687 + 0.351434i
\(21\) 2.05959 + 1.66075i 0.449440 + 0.362405i
\(22\) 3.25546i 0.694067i
\(23\) −3.27799 3.50069i −0.683507 0.729944i
\(24\) −2.21862 1.28092i −0.452873 0.261466i
\(25\) 5.70984 + 8.01835i 1.14197 + 1.60367i
\(26\) −3.87447 + 0.939935i −0.759845 + 0.184336i
\(27\) −0.755750 + 0.654861i −0.145444 + 0.126028i
\(28\) −3.63522 + 1.20870i −0.686993 + 0.228423i
\(29\) −1.18291 + 1.36515i −0.219660 + 0.253501i −0.854875 0.518834i \(-0.826366\pi\)
0.635215 + 0.772336i \(0.280912\pi\)
\(30\) −1.06392 2.65755i −0.194244 0.485199i
\(31\) −7.88041 1.91177i −1.41536 0.343363i −0.546103 0.837718i \(-0.683889\pi\)
−0.869260 + 0.494354i \(0.835404\pi\)
\(32\) 5.20952 2.68569i 0.920921 0.474768i
\(33\) 3.44408 2.70846i 0.599538 0.471482i
\(34\) −1.74680 3.82497i −0.299574 0.655976i
\(35\) −9.59136 3.45121i −1.62124 0.583361i
\(36\) −0.206064 1.43321i −0.0343440 0.238868i
\(37\) −0.105084 0.00500575i −0.0172757 0.000822941i 0.0389423 0.999241i \(-0.487601\pi\)
−0.0562180 + 0.998419i \(0.517904\pi\)
\(38\) 0.204139 0.841471i 0.0331156 0.136505i
\(39\) −4.21784 3.31695i −0.675396 0.531137i
\(40\) 9.69172 + 1.86793i 1.53240 + 0.295345i
\(41\) 5.99008 + 9.32075i 0.935494 + 1.45566i 0.889616 + 0.456709i \(0.150972\pi\)
0.0458775 + 0.998947i \(0.485392\pi\)
\(42\) 1.64065 + 1.08289i 0.253158 + 0.167094i
\(43\) −0.630678 + 2.14789i −0.0961775 + 0.327551i −0.993501 0.113823i \(-0.963690\pi\)
0.897324 + 0.441373i \(0.145509\pi\)
\(44\) 0.603050 + 6.31543i 0.0909132 + 0.952087i
\(45\) 1.92637 3.33657i 0.287166 0.497386i
\(46\) −2.67177 2.35773i −0.393931 0.347629i
\(47\) 4.42578 2.55522i 0.645566 0.372718i −0.141190 0.989983i \(-0.545093\pi\)
0.786755 + 0.617265i \(0.211759\pi\)
\(48\) 0.902751 + 0.412273i 0.130301 + 0.0595064i
\(49\) 6.76257 1.80766i 0.966082 0.258237i
\(50\) 4.78954 + 5.52742i 0.677343 + 0.781695i
\(51\) 2.59329 5.03028i 0.363133 0.704380i
\(52\) 7.34214 2.54114i 1.01817 0.352393i
\(53\) −1.31169 + 1.66795i −0.180174 + 0.229110i −0.867748 0.497004i \(-0.834433\pi\)
0.687574 + 0.726115i \(0.258676\pi\)
\(54\) −0.512731 + 0.537737i −0.0697739 + 0.0731768i
\(55\) −9.12641 + 14.2010i −1.23060 + 1.91486i
\(56\) −6.19937 + 2.74024i −0.828425 + 0.366180i
\(57\) 1.06006 0.484114i 0.140409 0.0641225i
\(58\) −0.778507 + 1.09326i −0.102223 + 0.143552i
\(59\) −2.87353 + 7.17773i −0.374102 + 0.934461i 0.615173 + 0.788392i \(0.289086\pi\)
−0.989274 + 0.146069i \(0.953338\pi\)
\(60\) 2.55624 + 4.95842i 0.330009 + 0.640129i
\(61\) 2.23950 + 2.13536i 0.286738 + 0.273404i 0.819772 0.572689i \(-0.194100\pi\)
−0.533034 + 0.846094i \(0.678948\pi\)
\(62\) −5.96369 0.857449i −0.757389 0.108896i
\(63\) 0.219341 + 2.63664i 0.0276344 + 0.332186i
\(64\) 1.99370 1.28127i 0.249213 0.160159i
\(65\) 19.5362 + 6.76155i 2.42317 + 0.838667i
\(66\) 2.35609 2.24653i 0.290015 0.276528i
\(67\) 7.65327 5.44987i 0.934996 0.665807i −0.00751908 0.999972i \(-0.502393\pi\)
0.942515 + 0.334164i \(0.108454\pi\)
\(68\) 4.09725 + 7.09665i 0.496865 + 0.860596i
\(69\) 0.271497 4.78814i 0.0326844 0.576424i
\(70\) −7.33790 1.87524i −0.877047 0.224135i
\(71\) 0.511216 1.11941i 0.0606702 0.132849i −0.876868 0.480731i \(-0.840372\pi\)
0.937539 + 0.347881i \(0.113099\pi\)
\(72\) −0.603976 2.48962i −0.0711792 0.293405i
\(73\) −1.37375 7.12770i −0.160786 0.834235i −0.969323 0.245790i \(-0.920953\pi\)
0.808538 0.588445i \(-0.200259\pi\)
\(74\) −0.0780776 + 0.00371929i −0.00907634 + 0.000432359i
\(75\) −1.86291 + 9.66571i −0.215111 + 1.11610i
\(76\) −0.240142 + 1.67022i −0.0275462 + 0.191588i
\(77\) −0.410265 11.5851i −0.0467540 1.32024i
\(78\) −3.35395 2.15545i −0.379760 0.244057i
\(79\) 2.80593 + 3.56803i 0.315692 + 0.401435i 0.917841 0.396949i \(-0.129931\pi\)
−0.602149 + 0.798384i \(0.705689\pi\)
\(80\) −3.80628 0.363456i −0.425555 0.0406356i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) 5.08880 + 6.47093i 0.561964 + 0.714595i
\(83\) −11.1193 7.14593i −1.22050 0.784367i −0.238115 0.971237i \(-0.576529\pi\)
−0.982385 + 0.186870i \(0.940166\pi\)
\(84\) −3.38337 1.79684i −0.369156 0.196051i
\(85\) −3.10306 + 21.5823i −0.336574 + 2.34093i
\(86\) −0.314775 + 1.63321i −0.0339431 + 0.176113i
\(87\) −1.80430 + 0.0859494i −0.193441 + 0.00921474i
\(88\) 2.12428 + 11.0218i 0.226449 + 1.17493i
\(89\) −1.96514 8.10042i −0.208304 0.858643i −0.975990 0.217816i \(-0.930107\pi\)
0.767685 0.640827i \(-0.221408\pi\)
\(90\) 1.18917 2.60391i 0.125349 0.274476i
\(91\) −13.6694 + 3.83318i −1.43295 + 0.401826i
\(92\) 5.61985 + 4.07895i 0.585910 + 0.425260i
\(93\) −4.05450 7.02259i −0.420432 0.728209i
\(94\) 3.09301 2.20252i 0.319020 0.227173i
\(95\) −3.24948 + 3.09838i −0.333390 + 0.317887i
\(96\) 5.53870 + 1.91696i 0.565292 + 0.195649i
\(97\) −11.3932 + 7.32197i −1.15681 + 0.743434i −0.970983 0.239150i \(-0.923131\pi\)
−0.185822 + 0.982583i \(0.559495\pi\)
\(98\) 4.87420 1.81463i 0.492368 0.183306i
\(99\) 4.33689 + 0.623551i 0.435874 + 0.0626692i
\(100\) −10.3154 9.83568i −1.03154 0.983568i
\(101\) −3.18895 6.18569i −0.317312 0.615499i 0.675202 0.737633i \(-0.264057\pi\)
−0.992514 + 0.122134i \(0.961026\pi\)
\(102\) 1.56283 3.90375i 0.154743 0.386529i
\(103\) 1.11721 1.56890i 0.110082 0.154588i −0.755860 0.654734i \(-0.772781\pi\)
0.865941 + 0.500146i \(0.166720\pi\)
\(104\) 12.5042 5.71048i 1.22614 0.559958i
\(105\) −4.12104 9.32321i −0.402172 0.909852i
\(106\) −0.852375 + 1.32632i −0.0827900 + 0.128824i
\(107\) 11.4933 12.0538i 1.11110 1.16529i 0.126228 0.992001i \(-0.459713\pi\)
0.984872 0.173286i \(-0.0554385\pi\)
\(108\) 0.895060 1.13816i 0.0861272 0.109520i
\(109\) −10.9682 + 3.79615i −1.05057 + 0.363605i −0.797169 0.603757i \(-0.793670\pi\)
−0.253399 + 0.967362i \(0.581549\pi\)
\(110\) −5.74728 + 11.1482i −0.547982 + 1.06294i
\(111\) −0.0688932 0.0795070i −0.00653906 0.00754647i
\(112\) 2.28981 1.28503i 0.216366 0.121424i
\(113\) 2.06399 + 0.942595i 0.194164 + 0.0886718i 0.510124 0.860101i \(-0.329599\pi\)
−0.315960 + 0.948772i \(0.602327\pi\)
\(114\) 0.749873 0.432939i 0.0702320 0.0405485i
\(115\) 5.04509 + 17.7750i 0.470457 + 1.65752i
\(116\) 1.30775 2.26508i 0.121421 0.210308i
\(117\) −0.510057 5.34155i −0.0471547 0.493827i
\(118\) −1.61843 + 5.51188i −0.148989 + 0.507410i
\(119\) −6.69830 13.3916i −0.614033 1.22761i
\(120\) 5.33617 + 8.30324i 0.487124 + 0.757979i
\(121\) −8.04930 1.55138i −0.731754 0.141034i
\(122\) 1.80723 + 1.42122i 0.163619 + 0.128672i
\(123\) −2.61211 + 10.7673i −0.235526 + 0.970853i
\(124\) 11.7281 + 0.558677i 1.05321 + 0.0501707i
\(125\) −2.65575 18.4711i −0.237538 1.65211i
\(126\) 0.348451 + 1.93467i 0.0310425 + 0.172354i
\(127\) −0.791079 1.73222i −0.0701969 0.153710i 0.871281 0.490785i \(-0.163290\pi\)
−0.941478 + 0.337075i \(0.890562\pi\)
\(128\) −7.83008 + 6.15764i −0.692088 + 0.544264i
\(129\) −1.98972 + 1.02577i −0.175185 + 0.0903142i
\(130\) 14.9273 + 3.62132i 1.30921 + 0.317611i
\(131\) −6.66773 16.6552i −0.582562 1.45517i −0.867898 0.496743i \(-0.834529\pi\)
0.285335 0.958428i \(-0.407895\pi\)
\(132\) −4.15454 + 4.79459i −0.361606 + 0.417316i
\(133\) 0.620413 3.02023i 0.0537967 0.261887i
\(134\) 5.27575 4.57147i 0.455756 0.394915i
\(135\) 3.74414 0.908317i 0.322244 0.0781755i
\(136\) 8.40994 + 11.8101i 0.721146 + 1.01271i
\(137\) 7.94254 + 4.58563i 0.678577 + 0.391776i 0.799319 0.600907i \(-0.205194\pi\)
−0.120742 + 0.992684i \(0.538527\pi\)
\(138\) −0.137362 3.56067i −0.0116930 0.303105i
\(139\) 13.3418i 1.13164i −0.824530 0.565818i \(-0.808560\pi\)
0.824530 0.565818i \(-0.191440\pi\)
\(140\) 14.5825 + 2.27858i 1.23245 + 0.192575i
\(141\) 4.90344 + 1.43978i 0.412944 + 0.121251i
\(142\) 0.299055 0.864063i 0.0250962 0.0725106i
\(143\) 1.11867 + 23.4838i 0.0935479 + 1.96381i
\(144\) 0.324594 + 0.937853i 0.0270495 + 0.0781544i
\(145\) 6.46086 2.58654i 0.536546 0.214800i
\(146\) −1.51949 5.17491i −0.125754 0.428278i
\(147\) 5.97497 + 3.64688i 0.492807 + 0.300789i
\(148\) 0.150778 0.0216785i 0.0123938 0.00178196i
\(149\) −3.18828 2.27036i −0.261194 0.185996i 0.441956 0.897037i \(-0.354285\pi\)
−0.703151 + 0.711041i \(0.748224\pi\)
\(150\) −0.695223 + 7.28071i −0.0567648 + 0.594467i
\(151\) 18.7985 + 7.52579i 1.52980 + 0.612441i 0.975524 0.219891i \(-0.0705702\pi\)
0.554278 + 0.832332i \(0.312994\pi\)
\(152\) −0.142056 + 2.98212i −0.0115223 + 0.241882i
\(153\) 5.43016 1.59444i 0.439002 0.128903i
\(154\) −1.12167 8.53980i −0.0903865 0.688156i
\(155\) 23.6110 + 20.4590i 1.89648 + 1.64331i
\(156\) 6.90577 + 3.56017i 0.552904 + 0.285042i
\(157\) 0.0614297 0.0118396i 0.00490263 0.000944904i −0.186799 0.982398i \(-0.559811\pi\)
0.191702 + 0.981453i \(0.438599\pi\)
\(158\) 2.32737 + 2.44088i 0.185156 + 0.194186i
\(159\) −2.11232 + 0.201702i −0.167518 + 0.0159960i
\(160\) −22.5811 −1.78519
\(161\) −9.80504 8.05365i −0.772745 0.634716i
\(162\) −0.743004 −0.0583759
\(163\) 12.8120 1.22340i 1.00351 0.0958239i 0.419659 0.907682i \(-0.362150\pi\)
0.583855 + 0.811858i \(0.301544\pi\)
\(164\) −11.0707 11.6106i −0.864476 0.906636i
\(165\) −16.5757 + 3.19470i −1.29041 + 0.248707i
\(166\) −8.72895 4.50009i −0.677498 0.349275i
\(167\) −4.23319 3.66808i −0.327574 0.283845i 0.475510 0.879710i \(-0.342264\pi\)
−0.803084 + 0.595866i \(0.796809\pi\)
\(168\) −6.26126 2.59571i −0.483066 0.200263i
\(169\) 15.1527 4.44922i 1.16559 0.342248i
\(170\) −0.770856 + 16.1823i −0.0591220 + 1.24112i
\(171\) 1.08190 + 0.433126i 0.0827347 + 0.0331220i
\(172\) 0.308108 3.22665i 0.0234930 0.246030i
\(173\) −0.0519161 0.0369693i −0.00394711 0.00281072i 0.578082 0.815979i \(-0.303802\pi\)
−0.582029 + 0.813168i \(0.697741\pi\)
\(174\) −1.32846 + 0.191004i −0.100710 + 0.0144800i
\(175\) 17.7409 + 19.0666i 1.34109 + 1.44130i
\(176\) −1.22507 4.17221i −0.0923432 0.314492i
\(177\) −7.17773 + 2.87353i −0.539511 + 0.215988i
\(178\) −2.02560 5.85260i −0.151825 0.438671i
\(179\) −0.321524 6.74961i −0.0240318 0.504489i −0.978509 0.206205i \(-0.933889\pi\)
0.954477 0.298284i \(-0.0964144\pi\)
\(180\) −1.82457 + 5.27174i −0.135995 + 0.392932i
\(181\) 4.47054 + 1.31267i 0.332293 + 0.0975699i 0.443623 0.896214i \(-0.353693\pi\)
−0.111330 + 0.993783i \(0.535511\pi\)
\(182\) −9.83972 + 3.80060i −0.729369 + 0.281719i
\(183\) 3.09436i 0.228742i
\(184\) 10.5841 + 6.23902i 0.780272 + 0.459947i
\(185\) 0.351017 + 0.202660i 0.0258073 + 0.0148998i
\(186\) −3.49485 4.90783i −0.256255 0.359860i
\(187\) −24.0976 + 5.84602i −1.76219 + 0.427504i
\(188\) −5.59228 + 4.84574i −0.407859 + 0.353412i
\(189\) −1.75687 + 1.97824i −0.127793 + 0.143896i
\(190\) −2.18462 + 2.52118i −0.158489 + 0.182906i
\(191\) −0.533403 1.33238i −0.0385957 0.0964074i 0.907818 0.419365i \(-0.137747\pi\)
−0.946413 + 0.322957i \(0.895323\pi\)
\(192\) 2.30311 + 0.558729i 0.166213 + 0.0403228i
\(193\) 7.58255 3.90907i 0.545804 0.281381i −0.163192 0.986594i \(-0.552179\pi\)
0.708995 + 0.705213i \(0.249149\pi\)
\(194\) −7.90974 + 6.22029i −0.567886 + 0.446591i
\(195\) 8.58797 + 18.8050i 0.614997 + 1.34666i
\(196\) −9.11954 + 4.42320i −0.651396 + 0.315943i
\(197\) −0.293241 2.03954i −0.0208926 0.145311i 0.976705 0.214586i \(-0.0688403\pi\)
−0.997598 + 0.0692755i \(0.977931\pi\)
\(198\) 3.25178 + 0.154901i 0.231094 + 0.0110083i
\(199\) 2.81034 11.5844i 0.199220 0.821196i −0.781200 0.624280i \(-0.785392\pi\)
0.980420 0.196916i \(-0.0630925\pi\)
\(200\) −19.8224 15.5885i −1.40166 1.10228i
\(201\) 9.22562 + 1.77809i 0.650725 + 0.125417i
\(202\) −2.79555 4.34996i −0.196694 0.306062i
\(203\) −2.63266 + 3.98865i −0.184777 + 0.279948i
\(204\) −2.30866 + 7.86257i −0.161639 + 0.550490i
\(205\) −4.05764 42.4935i −0.283398 2.96787i
\(206\) 0.715523 1.23932i 0.0498528 0.0863477i
\(207\) 3.65269 3.10770i 0.253880 0.216000i
\(208\) −4.61181 + 2.66263i −0.319772 + 0.184620i
\(209\) −4.64465 2.12114i −0.321277 0.146722i
\(210\) −3.70655 6.60476i −0.255777 0.455771i
\(211\) −18.0515 20.8325i −1.24272 1.43417i −0.859991 0.510310i \(-0.829531\pi\)
−0.382726 0.923862i \(-0.625015\pi\)
\(212\) 1.40787 2.73089i 0.0966931 0.187558i
\(213\) 1.16293 0.402495i 0.0796828 0.0275785i
\(214\) 7.64957 9.72722i 0.522914 0.664939i
\(215\) 5.95167 6.24194i 0.405901 0.425696i
\(216\) 1.38503 2.15515i 0.0942396 0.146640i
\(217\) −21.3308 2.29980i −1.44803 0.156120i
\(218\) −7.84444 + 3.58244i −0.531293 + 0.242633i
\(219\) 4.21056 5.91291i 0.284524 0.399557i
\(220\) 9.08431 22.6915i 0.612464 1.52986i
\(221\) 13.9152 + 26.9917i 0.936038 + 1.81566i
\(222\) −0.0565715 0.0539408i −0.00379683 0.00362027i
\(223\) 13.9337 + 2.00337i 0.933071 + 0.134155i 0.592051 0.805901i \(-0.298318\pi\)
0.341020 + 0.940056i \(0.389228\pi\)
\(224\) 12.7404 8.84010i 0.851251 0.590654i
\(225\) −8.28096 + 5.32185i −0.552064 + 0.354790i
\(226\) 1.59318 + 0.551406i 0.105977 + 0.0366790i
\(227\) −4.68981 + 4.47173i −0.311274 + 0.296799i −0.829571 0.558402i \(-0.811415\pi\)
0.518297 + 0.855201i \(0.326566\pi\)
\(228\) −1.37452 + 0.978788i −0.0910295 + 0.0648218i
\(229\) −11.4872 19.8964i −0.759093 1.31479i −0.943313 0.331903i \(-0.892309\pi\)
0.184220 0.982885i \(-0.441024\pi\)
\(230\) 4.98694 + 12.7908i 0.328829 + 0.843397i
\(231\) 8.10139 8.29153i 0.533032 0.545543i
\(232\) 1.92236 4.20938i 0.126209 0.276359i
\(233\) 1.08740 + 4.48233i 0.0712380 + 0.293647i 0.996275 0.0862291i \(-0.0274817\pi\)
−0.925037 + 0.379876i \(0.875967\pi\)
\(234\) −0.754516 3.91480i −0.0493243 0.255919i
\(235\) −19.6669 + 0.936850i −1.28293 + 0.0611134i
\(236\) 2.11864 10.9926i 0.137912 0.715555i
\(237\) −0.645991 + 4.49297i −0.0419616 + 0.291850i
\(238\) −5.90014 9.43187i −0.382449 0.611377i
\(239\) −6.48940 4.17048i −0.419764 0.269766i 0.313663 0.949535i \(-0.398444\pi\)
−0.733427 + 0.679768i \(0.762080\pi\)
\(240\) −2.36359 3.00555i −0.152569 0.194007i
\(241\) 27.9320 + 2.66718i 1.79926 + 0.171808i 0.940324 0.340279i \(-0.110522\pi\)
0.858933 + 0.512088i \(0.171128\pi\)
\(242\) −6.06315 0.578961i −0.389754 0.0372170i
\(243\) −0.618159 0.786053i −0.0396549 0.0504253i
\(244\) −3.76921 2.42232i −0.241299 0.155073i
\(245\) −26.3494 5.74860i −1.68340 0.367264i
\(246\) −1.17156 + 8.14839i −0.0746960 + 0.519522i
\(247\) −1.18343 + 6.14023i −0.0753000 + 0.390693i
\(248\) 20.7504 0.988462i 1.31765 0.0627674i
\(249\) −2.50143 12.9787i −0.158522 0.822489i
\(250\) −3.26886 13.4744i −0.206741 0.852197i
\(251\) −8.78585 + 19.2383i −0.554558 + 1.21431i 0.400063 + 0.916488i \(0.368988\pi\)
−0.954621 + 0.297824i \(0.903739\pi\)
\(252\) −1.03436 3.68862i −0.0651587 0.232361i
\(253\) −16.6340 + 12.8394i −1.04577 + 0.807208i
\(254\) −0.707455 1.22535i −0.0443897 0.0768851i
\(255\) −17.7612 + 12.6477i −1.11225 + 0.792028i
\(256\) −8.78692 + 8.37831i −0.549182 + 0.523644i
\(257\) 13.0700 + 4.52357i 0.815283 + 0.282172i 0.702715 0.711472i \(-0.251971\pi\)
0.112569 + 0.993644i \(0.464092\pi\)
\(258\) −1.39923 + 0.899230i −0.0871122 + 0.0559836i
\(259\) −0.277382 + 0.0230753i −0.0172357 + 0.00143383i
\(260\) −29.6290 4.26001i −1.83751 0.264194i
\(261\) −1.30731 1.24652i −0.0809207 0.0771578i
\(262\) −6.10802 11.8479i −0.377355 0.731966i
\(263\) 6.08044 15.1882i 0.374936 0.936545i −0.614148 0.789191i \(-0.710500\pi\)
0.989084 0.147354i \(-0.0470757\pi\)
\(264\) −6.51094 + 9.14334i −0.400721 + 0.562733i
\(265\) 7.43646 3.39612i 0.456818 0.208622i
\(266\) 0.245573 2.27770i 0.0150570 0.139655i
\(267\) 4.50645 7.01217i 0.275790 0.429138i
\(268\) −9.38786 + 9.84570i −0.573455 + 0.601422i
\(269\) −11.3012 + 14.3706i −0.689046 + 0.876193i −0.997172 0.0751526i \(-0.976056\pi\)
0.308126 + 0.951345i \(0.400298\pi\)
\(270\) 2.70516 0.936265i 0.164631 0.0569792i
\(271\) −10.7828 + 20.9158i −0.655011 + 1.27054i 0.294152 + 0.955759i \(0.404963\pi\)
−0.949163 + 0.314785i \(0.898068\pi\)
\(272\) −3.67809 4.24474i −0.223017 0.257375i
\(273\) −12.2072 7.24783i −0.738813 0.438659i
\(274\) 6.19848 + 2.83075i 0.374464 + 0.171012i
\(275\) 37.3513 21.5648i 2.25237 1.30041i
\(276\) 0.926063 + 6.88207i 0.0557425 + 0.414252i
\(277\) 2.97428 5.15160i 0.178707 0.309530i −0.762731 0.646716i \(-0.776142\pi\)
0.941438 + 0.337186i \(0.109475\pi\)
\(278\) −0.942292 9.86812i −0.0565149 0.591851i
\(279\) 2.28457 7.78052i 0.136773 0.465808i
\(280\) 26.0671 + 1.56071i 1.55781 + 0.0932702i
\(281\) 6.68992 + 10.4097i 0.399087 + 0.620992i 0.981400 0.191973i \(-0.0614885\pi\)
−0.582313 + 0.812965i \(0.697852\pi\)
\(282\) 3.72846 + 0.718602i 0.222027 + 0.0427921i
\(283\) 6.25979 + 4.92275i 0.372106 + 0.292627i 0.786647 0.617403i \(-0.211815\pi\)
−0.414541 + 0.910031i \(0.636058\pi\)
\(284\) −0.420090 + 1.73164i −0.0249278 + 0.102754i
\(285\) −4.48480 0.213637i −0.265657 0.0126548i
\(286\) 2.48600 + 17.2905i 0.147000 + 1.02241i
\(287\) 18.9248 + 22.3865i 1.11709 + 1.32143i
\(288\) 2.43477 + 5.33141i 0.143470 + 0.314156i
\(289\) −11.8135 + 9.29023i −0.694911 + 0.546484i
\(290\) 4.59603 2.36942i 0.269888 0.139137i
\(291\) −13.1614 3.19291i −0.771533 0.187172i
\(292\) 3.90634 + 9.75758i 0.228601 + 0.571019i
\(293\) −10.2993 + 11.8860i −0.601692 + 0.694390i −0.972123 0.234470i \(-0.924664\pi\)
0.370431 + 0.928860i \(0.379210\pi\)
\(294\) 4.67689 + 2.27538i 0.272762 + 0.132703i
\(295\) 22.5120 19.5068i 1.31070 1.13573i
\(296\) 0.261915 0.0635400i 0.0152235 0.00369319i
\(297\) 2.54151 + 3.56905i 0.147474 + 0.207098i
\(298\) −2.51853 1.45407i −0.145894 0.0842322i
\(299\) 20.0834 + 16.0898i 1.16145 + 0.930495i
\(300\) 14.2530i 0.822896i
\(301\) −0.914354 + 5.85170i −0.0527025 + 0.337286i
\(302\) 14.4357 + 4.23869i 0.830679 + 0.243909i
\(303\) 2.27617 6.57656i 0.130763 0.377814i
\(304\) −0.0550314 1.15525i −0.00315626 0.0662581i
\(305\) −3.89923 11.2661i −0.223269 0.645094i
\(306\) 3.90375 1.56283i 0.223163 0.0893408i
\(307\) 5.92268 + 20.1708i 0.338025 + 1.15121i 0.936676 + 0.350198i \(0.113886\pi\)
−0.598650 + 0.801011i \(0.704296\pi\)
\(308\) 3.75791 + 16.3590i 0.214127 + 0.932139i
\(309\) 1.90642 0.274102i 0.108453 0.0155931i
\(310\) 18.9086 + 13.4647i 1.07394 + 0.764746i
\(311\) 2.57641 26.9814i 0.146095 1.52998i −0.563944 0.825813i \(-0.690716\pi\)
0.710039 0.704163i \(-0.248678\pi\)
\(312\) 12.7617 + 5.10903i 0.722492 + 0.289242i
\(313\) 1.49722 31.4305i 0.0846279 1.77656i −0.414518 0.910041i \(-0.636050\pi\)
0.499146 0.866518i \(-0.333647\pi\)
\(314\) 0.0445997 0.0130956i 0.00251690 0.000739030i
\(315\) 3.90368 9.41629i 0.219947 0.530548i
\(316\) −4.96714 4.30405i −0.279423 0.242122i
\(317\) −29.4397 15.1772i −1.65350 0.852439i −0.995002 0.0998578i \(-0.968161\pi\)
−0.658499 0.752581i \(-0.728808\pi\)
\(318\) −1.54811 + 0.298374i −0.0868137 + 0.0167320i
\(319\) 5.46162 + 5.72798i 0.305792 + 0.320705i
\(320\) −9.08932 + 0.867925i −0.508109 + 0.0485185i
\(321\) 16.6550 0.929594
\(322\) −7.82100 5.26430i −0.435847 0.293368i
\(323\) −6.59533 −0.366974
\(324\) 1.44139 0.137636i 0.0800772 0.00764644i
\(325\) −36.4495 38.2271i −2.02185 2.12046i
\(326\) 9.38986 1.80975i 0.520056 0.100233i
\(327\) −10.3164 5.31845i −0.570496 0.294111i
\(328\) −21.4513 18.5876i −1.18445 1.02633i
\(329\) 10.7294 8.22781i 0.591530 0.453614i
\(330\) −12.0344 + 3.53362i −0.662471 + 0.194519i
\(331\) −0.119173 + 2.50175i −0.00655034 + 0.137509i 0.993223 + 0.116223i \(0.0370788\pi\)
−0.999773 + 0.0212852i \(0.993224\pi\)
\(332\) 17.7673 + 7.11296i 0.975108 + 0.390375i
\(333\) 0.0100002 0.104727i 0.000548006 0.00573898i
\(334\) −3.39010 2.41408i −0.185498 0.132093i
\(335\) −35.8296 + 5.15152i −1.95758 + 0.281457i
\(336\) 2.51016 + 0.770440i 0.136941 + 0.0420310i
\(337\) −0.207927 0.708135i −0.0113265 0.0385746i 0.953636 0.300963i \(-0.0973080\pi\)
−0.964962 + 0.262388i \(0.915490\pi\)
\(338\) 10.8933 4.36101i 0.592516 0.237208i
\(339\) 0.742131 + 2.14425i 0.0403070 + 0.116460i
\(340\) −1.50222 31.5355i −0.0814695 1.71025i
\(341\) −11.6205 + 33.5754i −0.629288 + 1.81821i
\(342\) 0.830804 + 0.243946i 0.0449247 + 0.0131911i
\(343\) 17.1169 7.07192i 0.924225 0.381848i
\(344\) 5.73485i 0.309203i
\(345\) −9.38284 + 15.9174i −0.505155 + 0.856966i
\(346\) −0.0410102 0.0236772i −0.00220472 0.00127290i
\(347\) 2.87243 + 4.03376i 0.154200 + 0.216544i 0.884448 0.466638i \(-0.154535\pi\)
−0.730248 + 0.683182i \(0.760596\pi\)
\(348\) 2.54176 0.616625i 0.136253 0.0330546i
\(349\) 8.18250 7.09018i 0.437999 0.379529i −0.407764 0.913088i \(-0.633691\pi\)
0.845763 + 0.533559i \(0.179146\pi\)
\(350\) 14.4685 + 12.8494i 0.773373 + 0.686830i
\(351\) 3.51389 4.05524i 0.187557 0.216453i
\(352\) −9.54435 23.8406i −0.508715 1.27071i
\(353\) −6.28736 1.52530i −0.334642 0.0811833i 0.0649171 0.997891i \(-0.479322\pi\)
−0.399559 + 0.916707i \(0.630837\pi\)
\(354\) −5.10598 + 2.63232i −0.271380 + 0.139906i
\(355\) −3.72687 + 2.93084i −0.197801 + 0.155553i
\(356\) 5.01372 + 10.9785i 0.265726 + 0.581860i
\(357\) 5.06959 14.0890i 0.268311 0.745672i
\(358\) −0.714516 4.96957i −0.0377634 0.262650i
\(359\) 1.61444 + 0.0769051i 0.0852067 + 0.00405890i 0.0901420 0.995929i \(-0.471268\pi\)
−0.00493527 + 0.999988i \(0.501571\pi\)
\(360\) −2.32696 + 9.59186i −0.122642 + 0.505536i
\(361\) 13.8675 + 10.9055i 0.729867 + 0.573974i
\(362\) 3.39930 + 0.655161i 0.178663 + 0.0344345i
\(363\) −4.43187 6.89612i −0.232613 0.361953i
\(364\) 18.3845 9.19570i 0.963611 0.481986i
\(365\) −7.87909 + 26.8337i −0.412411 + 1.40454i
\(366\) 0.218546 + 2.28871i 0.0114236 + 0.119633i
\(367\) 2.60710 4.51564i 0.136090 0.235714i −0.789923 0.613205i \(-0.789880\pi\)
0.926013 + 0.377491i \(0.123213\pi\)
\(368\) −4.31139 2.01625i −0.224747 0.105104i
\(369\) −9.59521 + 5.53980i −0.499507 + 0.288390i
\(370\) 0.273939 + 0.125104i 0.0142414 + 0.00650383i
\(371\) −2.86616 + 4.82734i −0.148804 + 0.250623i
\(372\) 7.68897 + 8.87354i 0.398654 + 0.460072i
\(373\) −3.85972 + 7.48680i −0.199849 + 0.387652i −0.967369 0.253373i \(-0.918460\pi\)
0.767520 + 0.641025i \(0.221490\pi\)
\(374\) −17.4107 + 6.02589i −0.900285 + 0.311592i
\(375\) 11.5355 14.6686i 0.595692 0.757484i
\(376\) −9.03460 + 9.47522i −0.465924 + 0.488647i
\(377\) 5.24021 8.15392i 0.269884 0.419948i
\(378\) −1.15973 + 1.58726i −0.0596501 + 0.0816401i
\(379\) 4.67854 2.13662i 0.240320 0.109751i −0.291614 0.956536i \(-0.594192\pi\)
0.531935 + 0.846785i \(0.321465\pi\)
\(380\) 3.77101 5.29565i 0.193449 0.271661i
\(381\) 0.707760 1.76790i 0.0362597 0.0905723i
\(382\) −0.488628 0.947805i −0.0250004 0.0484939i
\(383\) 8.20311 + 7.82165i 0.419159 + 0.399668i 0.870091 0.492891i \(-0.164060\pi\)
−0.450932 + 0.892558i \(0.648908\pi\)
\(384\) −9.85987 1.41763i −0.503159 0.0723434i
\(385\) −19.0477 + 40.3968i −0.970758 + 2.05881i
\(386\) 5.33226 3.42684i 0.271405 0.174421i
\(387\) −2.11545 0.732165i −0.107534 0.0372180i
\(388\) 14.1922 13.5323i 0.720501 0.686996i
\(389\) −17.7844 + 12.6642i −0.901703 + 0.642100i −0.933959 0.357380i \(-0.883670\pi\)
0.0322560 + 0.999480i \(0.489731\pi\)
\(390\) 7.68014 + 13.3024i 0.388899 + 0.673593i
\(391\) −12.6546 + 24.0109i −0.639970 + 1.21429i
\(392\) −15.3182 + 9.32424i −0.773684 + 0.470945i
\(393\) 7.45266 16.3191i 0.375937 0.823188i
\(394\) −0.360939 1.48781i −0.0181838 0.0749548i
\(395\) −3.30967 17.1722i −0.166528 0.864027i
\(396\) −6.33697 + 0.301867i −0.318445 + 0.0151694i
\(397\) 2.99068 15.5171i 0.150098 0.778782i −0.826371 0.563126i \(-0.809599\pi\)
0.976469 0.215657i \(-0.0691892\pi\)
\(398\) 1.26047 8.76676i 0.0631817 0.439438i
\(399\) 2.61398 1.63518i 0.130863 0.0818615i
\(400\) 8.21832 + 5.28159i 0.410916 + 0.264080i
\(401\) −5.70748 7.25765i −0.285018 0.362430i 0.622370 0.782723i \(-0.286170\pi\)
−0.907389 + 0.420293i \(0.861927\pi\)
\(402\) 6.94921 + 0.663569i 0.346595 + 0.0330958i
\(403\) 43.3146 + 4.13604i 2.15765 + 0.206031i
\(404\) 6.22901 + 7.92083i 0.309905 + 0.394076i
\(405\) 3.24113 + 2.08295i 0.161053 + 0.103502i
\(406\) −1.66551 + 3.13610i −0.0826581 + 0.155642i
\(407\) −0.0655993 + 0.456253i −0.00325164 + 0.0226156i
\(408\) −2.74385 + 14.2365i −0.135841 + 0.704810i
\(409\) −19.3586 + 0.922162i −0.957219 + 0.0455980i −0.520374 0.853939i \(-0.674207\pi\)
−0.436845 + 0.899537i \(0.643904\pi\)
\(410\) −6.00238 31.1433i −0.296436 1.53806i
\(411\) 2.16220 + 8.91273i 0.106654 + 0.439632i
\(412\) −1.15850 + 2.53677i −0.0570753 + 0.124977i
\(413\) −5.06482 + 19.8188i −0.249224 + 0.975221i
\(414\) 2.48219 2.55656i 0.121993 0.125648i
\(415\) 25.4618 + 44.1011i 1.24987 + 2.16484i
\(416\) −25.6181 + 18.2425i −1.25603 + 0.894414i
\(417\) 9.65592 9.20690i 0.472852 0.450864i
\(418\) −3.58518 1.24084i −0.175357 0.0606916i
\(419\) 14.1423 9.08869i 0.690896 0.444012i −0.147508 0.989061i \(-0.547125\pi\)
0.838404 + 0.545049i \(0.183489\pi\)
\(420\) 8.41400 + 12.1263i 0.410561 + 0.591701i
\(421\) −37.8175 5.43734i −1.84311 0.265000i −0.869621 0.493720i \(-0.835637\pi\)
−0.973492 + 0.228720i \(0.926546\pi\)
\(422\) −14.8229 14.1336i −0.721570 0.688015i
\(423\) 2.34174 + 4.54235i 0.113859 + 0.220856i
\(424\) 2.02037 5.04664i 0.0981179 0.245087i
\(425\) 32.3143 45.3791i 1.56747 2.20121i
\(426\) 0.831724 0.379836i 0.0402972 0.0184031i
\(427\) 6.61043 + 4.82989i 0.319901 + 0.233735i
\(428\) −13.0379 + 20.2873i −0.630210 + 0.980625i
\(429\) −16.2240 + 17.0153i −0.783304 + 0.821506i
\(430\) 3.96124 5.03713i 0.191028 0.242912i
\(431\) −21.3547 + 7.39092i −1.02862 + 0.356008i −0.788696 0.614784i \(-0.789243\pi\)
−0.239923 + 0.970792i \(0.577122\pi\)
\(432\) −0.454760 + 0.882112i −0.0218797 + 0.0424406i
\(433\) −17.7304 20.4620i −0.852069 0.983341i 0.147915 0.989000i \(-0.452744\pi\)
−0.999984 + 0.00565961i \(0.998198\pi\)
\(434\) −15.9395 0.194494i −0.765120 0.00933602i
\(435\) 6.33047 + 2.89103i 0.303523 + 0.138614i
\(436\) 14.5542 8.40286i 0.697019 0.402424i
\(437\) −5.10467 + 2.27567i −0.244189 + 0.108860i
\(438\) 2.69669 4.67080i 0.128853 0.223180i
\(439\) 2.52845 + 26.4791i 0.120676 + 1.26378i 0.829545 + 0.558439i \(0.188600\pi\)
−0.708869 + 0.705340i \(0.750794\pi\)
\(440\) 12.1837 41.4939i 0.580836 1.97814i
\(441\) 1.48383 + 6.84092i 0.0706587 + 0.325758i
\(442\) 12.1986 + 18.9814i 0.580227 + 0.902851i
\(443\) −32.9624 6.35299i −1.56609 0.301840i −0.668857 0.743391i \(-0.733216\pi\)
−0.897236 + 0.441552i \(0.854428\pi\)
\(444\) 0.119738 + 0.0941629i 0.00568251 + 0.00446877i
\(445\) −7.57117 + 31.2088i −0.358908 + 1.47944i
\(446\) 10.4474 + 0.497672i 0.494700 + 0.0235655i
\(447\) −0.557026 3.87420i −0.0263464 0.183243i
\(448\) 4.78845 4.04799i 0.226233 0.191250i
\(449\) 2.76991 + 6.06525i 0.130720 + 0.286237i 0.963663 0.267123i \(-0.0860728\pi\)
−0.832943 + 0.553360i \(0.813346\pi\)
\(450\) −5.74906 + 4.52111i −0.271013 + 0.213127i
\(451\) 43.1486 22.2447i 2.03179 1.04746i
\(452\) −3.19284 0.774574i −0.150178 0.0364329i
\(453\) 7.52579 + 18.7985i 0.353593 + 0.883232i
\(454\) −3.15295 + 3.63869i −0.147975 + 0.170772i
\(455\) 53.5775 + 11.0058i 2.51175 + 0.515962i
\(456\) −2.25629 + 1.95509i −0.105661 + 0.0915554i
\(457\) −2.37252 + 0.575568i −0.110982 + 0.0269239i −0.290865 0.956764i \(-0.593943\pi\)
0.179883 + 0.983688i \(0.442428\pi\)
\(458\) −9.90158 13.9048i −0.462671 0.649730i
\(459\) 4.90119 + 2.82970i 0.228768 + 0.132079i
\(460\) −12.0438 23.8896i −0.561545 1.11386i
\(461\) 40.5852i 1.89024i 0.326719 + 0.945122i \(0.394057\pi\)
−0.326719 + 0.945122i \(0.605943\pi\)
\(462\) 5.40650 6.70492i 0.251533 0.311941i
\(463\) 20.8524 + 6.12281i 0.969092 + 0.284551i 0.727715 0.685880i \(-0.240583\pi\)
0.241378 + 0.970431i \(0.422401\pi\)
\(464\) −0.586329 + 1.69409i −0.0272196 + 0.0786460i
\(465\) 1.48655 + 31.2064i 0.0689369 + 1.44716i
\(466\) 1.12086 + 3.23851i 0.0519228 + 0.150021i
\(467\) 13.7543 5.50638i 0.636472 0.254805i −0.0309080 0.999522i \(-0.509840\pi\)
0.667380 + 0.744717i \(0.267416\pi\)
\(468\) 2.18891 + 7.45474i 0.101182 + 0.344596i
\(469\) 18.1985 16.9331i 0.840327 0.781900i
\(470\) −14.4803 + 2.08195i −0.667924 + 0.0960330i
\(471\) 0.0509601 + 0.0362885i 0.00234812 + 0.00167209i
\(472\) 1.88277 19.7173i 0.0866617 0.907562i
\(473\) 9.10568 + 3.64537i 0.418680 + 0.167614i
\(474\) −0.160476 + 3.36880i −0.00737090 + 0.154734i
\(475\) 11.0068 3.23189i 0.505027 0.148289i
\(476\) 13.1931 + 17.2044i 0.604707 + 0.788561i
\(477\) −1.60365 1.38957i −0.0734260 0.0636240i
\(478\) −5.09436 2.62633i −0.233011 0.120125i
\(479\) −2.00573 + 0.386572i −0.0916439 + 0.0176629i −0.234867 0.972028i \(-0.575465\pi\)
0.143223 + 0.989690i \(0.454253\pi\)
\(480\) −15.5828 16.3427i −0.711252 0.745940i
\(481\) 0.561947 0.0536594i 0.0256226 0.00244666i
\(482\) 20.8480 0.949599
\(483\) −0.937552 12.6539i −0.0426601 0.575772i
\(484\) 11.8694 0.539520
\(485\) 51.9419 4.95985i 2.35856 0.225215i
\(486\) −0.512731 0.537737i −0.0232580 0.0243923i
\(487\) 14.4661 2.78811i 0.655521 0.126341i 0.149363 0.988782i \(-0.452278\pi\)
0.506158 + 0.862441i \(0.331065\pi\)
\(488\) −7.04602 3.63248i −0.318959 0.164435i
\(489\) 9.72671 + 8.42824i 0.439857 + 0.381138i
\(490\) −19.8950 2.39091i −0.898767 0.108010i
\(491\) −19.1475 + 5.62220i −0.864113 + 0.253726i −0.683609 0.729848i \(-0.739591\pi\)
−0.180503 + 0.983574i \(0.557773\pi\)
\(492\) 0.763340 16.0245i 0.0344140 0.722439i
\(493\) 9.49056 + 3.79945i 0.427433 + 0.171119i
\(494\) −0.441647 + 4.62514i −0.0198706 + 0.208095i
\(495\) −13.7506 9.79178i −0.618045 0.440108i
\(496\) −7.96574 + 1.14530i −0.357672 + 0.0514255i
\(497\) 0.955342 3.11259i 0.0428529 0.139619i
\(498\) −2.76680 9.42286i −0.123983 0.422248i
\(499\) −26.2471 + 10.5078i −1.17498 + 0.470392i −0.875269 0.483637i \(-0.839315\pi\)
−0.299714 + 0.954029i \(0.596891\pi\)
\(500\) 8.83745 + 25.5341i 0.395223 + 1.14192i
\(501\) −0.266521 5.59497i −0.0119073 0.249965i
\(502\) −5.13961 + 14.8499i −0.229392 + 0.662785i
\(503\) 21.2326 + 6.23445i 0.946714 + 0.277980i 0.718418 0.695611i \(-0.244866\pi\)
0.228296 + 0.973592i \(0.426685\pi\)
\(504\) −2.44216 6.32273i −0.108782 0.281637i
\(505\) 26.8124i 1.19314i
\(506\) −11.3964 + 10.6714i −0.506630 + 0.474400i
\(507\) 13.6766 + 7.89618i 0.607398 + 0.350682i
\(508\) 1.59941 + 2.24606i 0.0709624 + 0.0996528i
\(509\) 20.1005 4.87632i 0.890938 0.216139i 0.235938 0.971768i \(-0.424184\pi\)
0.655000 + 0.755629i \(0.272669\pi\)
\(510\) −12.2436 + 10.6091i −0.542156 + 0.469781i
\(511\) −6.05950 18.2242i −0.268056 0.806192i
\(512\) 7.13906 8.23891i 0.315505 0.364112i
\(513\) 0.433126 + 1.08190i 0.0191230 + 0.0477669i
\(514\) 9.98657 + 2.42271i 0.440489 + 0.106861i
\(515\) −6.59559 + 3.40026i −0.290636 + 0.149833i
\(516\) 2.54786 2.00366i 0.112163 0.0882060i
\(517\) −9.30171 20.3679i −0.409089 0.895779i
\(518\) −0.203533 + 0.0366581i −0.00894274 + 0.00161066i
\(519\) −0.00907027 0.0630851i −0.000398141 0.00276913i
\(520\) −52.9014 2.52001i −2.31988 0.110510i
\(521\) −4.58609 + 18.9041i −0.200920 + 0.828204i 0.778708 + 0.627386i \(0.215875\pi\)
−0.979629 + 0.200818i \(0.935640\pi\)
\(522\) −1.05498 0.829645i −0.0461752 0.0363126i
\(523\) 35.5429 + 6.85033i 1.55418 + 0.299544i 0.892782 0.450489i \(-0.148750\pi\)
0.661400 + 0.750033i \(0.269963\pi\)
\(524\) 14.0440 + 21.8529i 0.613514 + 0.954647i
\(525\) −1.55652 + 25.9971i −0.0679321 + 1.13461i
\(526\) 3.42464 11.6632i 0.149321 0.508542i
\(527\) 4.36232 + 45.6843i 0.190026 + 1.99004i
\(528\) 2.17417 3.76578i 0.0946187 0.163884i
\(529\) −1.50962 + 22.9504i −0.0656356 + 0.997844i
\(530\) 5.26044 3.03712i 0.228499 0.131924i
\(531\) −7.03287 3.21181i −0.305201 0.139380i
\(532\) −0.0544712 + 4.46411i −0.00236163 + 0.193544i
\(533\) −38.9324 44.9304i −1.68635 1.94615i
\(534\) 2.83790 5.50475i 0.122808 0.238214i
\(535\) −60.6384 + 20.9871i −2.62163 + 0.907353i
\(536\) −14.8788 + 18.9199i −0.642665 + 0.817215i
\(537\) 4.66305 4.89046i 0.201225 0.211039i
\(538\) −7.34385 + 11.4273i −0.316616 + 0.492664i
\(539\) −5.06784 30.2488i −0.218287 1.30291i
\(540\) −5.07443 + 2.31742i −0.218369 + 0.0997257i
\(541\) 20.2375 28.4196i 0.870080 1.22186i −0.103756 0.994603i \(-0.533086\pi\)
0.973836 0.227253i \(-0.0729745\pi\)
\(542\) −6.49819 + 16.2317i −0.279121 + 0.697211i
\(543\) 2.13500 + 4.14133i 0.0916217 + 0.177721i
\(544\) −24.0063 22.8900i −1.02926 0.981400i
\(545\) 44.2620 + 6.36392i 1.89598 + 0.272600i
\(546\) −9.54081 4.49863i −0.408309 0.192524i
\(547\) 13.5864 8.73144i 0.580912 0.373329i −0.216938 0.976185i \(-0.569607\pi\)
0.797850 + 0.602856i \(0.205971\pi\)
\(548\) −12.5491 4.34329i −0.536071 0.185536i
\(549\) −2.23950 + 2.13536i −0.0955794 + 0.0911347i
\(550\) 26.1035 18.5882i 1.11305 0.792603i
\(551\) 1.05254 + 1.82305i 0.0448395 + 0.0776643i
\(552\) 2.78850 + 11.9655i 0.118686 + 0.509286i
\(553\) 8.58993 + 8.39294i 0.365281 + 0.356904i
\(554\) 1.83605 4.02039i 0.0780063 0.170810i
\(555\) 0.0955576 + 0.393894i 0.00405619 + 0.0167199i
\(556\) 3.65599 + 18.9691i 0.155049 + 0.804469i
\(557\) −12.2049 + 0.581390i −0.517137 + 0.0246343i −0.304529 0.952503i \(-0.598499\pi\)
−0.212608 + 0.977137i \(0.568196\pi\)
\(558\) 1.14024 5.91613i 0.0482702 0.250450i
\(559\) 1.70946 11.8896i 0.0723026 0.502875i
\(560\) −10.1099 + 0.358026i −0.427223 + 0.0151294i
\(561\) −20.8602 13.4061i −0.880720 0.566004i
\(562\) 5.68334 + 7.22695i 0.239737 + 0.304851i
\(563\) 18.4276 + 1.75962i 0.776631 + 0.0741593i 0.475841 0.879531i \(-0.342144\pi\)
0.300790 + 0.953690i \(0.402750\pi\)
\(564\) −7.36614 0.703381i −0.310170 0.0296177i
\(565\) −5.40396 6.87170i −0.227346 0.289095i
\(566\) 4.97767 + 3.19895i 0.209227 + 0.134462i
\(567\) −2.64409 + 0.0936360i −0.111042 + 0.00393234i
\(568\) −0.448667 + 3.12055i −0.0188256 + 0.130935i
\(569\) 4.40278 22.8438i 0.184574 0.957662i −0.764979 0.644055i \(-0.777251\pi\)
0.949553 0.313607i \(-0.101537\pi\)
\(570\) −3.33222 + 0.158733i −0.139572 + 0.00664861i
\(571\) −0.642056 3.33130i −0.0268692 0.139411i 0.966017 0.258479i \(-0.0832213\pi\)
−0.992886 + 0.119068i \(0.962009\pi\)
\(572\) −8.02566 33.0822i −0.335570 1.38324i
\(573\) 0.596196 1.30549i 0.0249064 0.0545375i
\(574\) 15.5786 + 15.2213i 0.650238 + 0.635327i
\(575\) 9.35296 46.2724i 0.390045 1.92969i
\(576\) 1.18496 + 2.05241i 0.0493733 + 0.0855170i
\(577\) 7.03843 5.01205i 0.293014 0.208654i −0.424091 0.905620i \(-0.639406\pi\)
0.717105 + 0.696965i \(0.245467\pi\)
\(578\) −8.08158 + 7.70577i −0.336149 + 0.320518i
\(579\) 8.06169 + 2.79018i 0.335032 + 0.115956i
\(580\) −8.47714 + 5.44793i −0.351994 + 0.226213i
\(581\) −31.6304 14.9142i −1.31225 0.618745i
\(582\) −9.96018 1.43206i −0.412863 0.0593607i
\(583\) 6.72871 + 6.41581i 0.278675 + 0.265716i
\(584\) 8.52121 + 16.5288i 0.352610 + 0.683968i
\(585\) −7.68346 + 19.1924i −0.317672 + 0.793506i
\(586\) −6.77830 + 9.51879i −0.280009 + 0.393218i
\(587\) 26.5427 12.1216i 1.09553 0.500313i 0.216117 0.976367i \(-0.430661\pi\)
0.879416 + 0.476054i \(0.157933\pi\)
\(588\) −9.49443 3.54776i −0.391544 0.146307i
\(589\) −5.10907 + 7.94986i −0.210515 + 0.327568i
\(590\) 15.2731 16.0179i 0.628782 0.659448i
\(591\) 1.27372 1.61967i 0.0523939 0.0666243i
\(592\) −0.0986648 + 0.0341482i −0.00405510 + 0.00140348i
\(593\) −15.5156 + 30.0960i −0.637149 + 1.23590i 0.320306 + 0.947314i \(0.396214\pi\)
−0.957455 + 0.288582i \(0.906816\pi\)
\(594\) 2.13187 + 2.46031i 0.0874719 + 0.100948i
\(595\) −0.703865 + 57.6842i −0.0288556 + 2.36482i
\(596\) 5.15517 + 2.35429i 0.211164 + 0.0964353i
\(597\) 10.3234 5.96021i 0.422508 0.243935i
\(598\) 15.9909 + 10.4822i 0.653915 + 0.428649i
\(599\) −5.26432 + 9.11808i −0.215094 + 0.372555i −0.953302 0.302019i \(-0.902339\pi\)
0.738207 + 0.674574i \(0.235673\pi\)
\(600\) −2.39709 25.1035i −0.0978609 1.02485i
\(601\) 12.5565 42.7635i 0.512190 1.74436i −0.143816 0.989604i \(-0.545937\pi\)
0.656006 0.754756i \(-0.272245\pi\)
\(602\) −0.263004 + 4.39272i −0.0107193 + 0.179034i
\(603\) 5.07954 + 7.90392i 0.206855 + 0.321872i
\(604\) −28.7896 5.54874i −1.17143 0.225775i
\(605\) 24.8256 + 19.5231i 1.00930 + 0.793725i
\(606\) 1.21906 5.02505i 0.0495210 0.204129i
\(607\) 1.75455 + 0.0835797i 0.0712151 + 0.00339239i 0.0831592 0.996536i \(-0.473499\pi\)
−0.0119441 + 0.999929i \(0.503802\pi\)
\(608\) −0.972057 6.76081i −0.0394221 0.274187i
\(609\) −4.70346 + 0.847134i −0.190594 + 0.0343276i
\(610\) −3.67971 8.05745i −0.148987 0.326237i
\(611\) −21.5551 + 16.9511i −0.872024 + 0.685768i
\(612\) −7.28357 + 3.75494i −0.294421 + 0.151784i
\(613\) −3.17433 0.770083i −0.128210 0.0311034i 0.171141 0.985247i \(-0.445255\pi\)
−0.299350 + 0.954143i \(0.596770\pi\)
\(614\) 5.80525 + 14.5008i 0.234281 + 0.585206i
\(615\) 27.9539 32.2605i 1.12721 1.30087i
\(616\) 9.37001 + 28.1807i 0.377529 + 1.13543i
\(617\) 3.25304 2.81878i 0.130963 0.113480i −0.586917 0.809647i \(-0.699658\pi\)
0.717879 + 0.696168i \(0.245113\pi\)
\(618\) 1.39071 0.337382i 0.0559424 0.0135715i
\(619\) 7.24079 + 10.1683i 0.291032 + 0.408697i 0.934043 0.357159i \(-0.116255\pi\)
−0.643012 + 0.765856i \(0.722315\pi\)
\(620\) −39.1759 22.6182i −1.57334 0.908370i
\(621\) 4.76980 + 0.499019i 0.191405 + 0.0200249i
\(622\) 20.1385i 0.807480i
\(623\) −7.94599 20.5721i −0.318349 0.824204i
\(624\) −5.10955 1.50030i −0.204546 0.0600601i
\(625\) −7.41736 + 21.4311i −0.296694 + 0.857242i
\(626\) −1.11244 23.3530i −0.0444621 0.933374i
\(627\) −1.67003 4.82525i −0.0666948 0.192702i
\(628\) −0.0840952 + 0.0336666i −0.00335576 + 0.00134344i
\(629\) 0.167740 + 0.571268i 0.00668821 + 0.0227780i
\(630\) 2.22227 7.24036i 0.0885374 0.288463i
\(631\) −4.38493 + 0.630458i −0.174561 + 0.0250981i −0.229041 0.973417i \(-0.573559\pi\)
0.0544798 + 0.998515i \(0.482650\pi\)
\(632\) −9.47239 6.74526i −0.376791 0.268312i
\(633\) 2.62026 27.4406i 0.104146 1.09067i
\(634\) −22.8467 9.14645i −0.907359 0.363252i
\(635\) −0.349099 + 7.32850i −0.0138536 + 0.290823i
\(636\) 2.94798 0.865606i 0.116895 0.0343235i
\(637\) −34.5372 + 14.7651i −1.36841 + 0.585013i
\(638\) 4.44418 + 3.85090i 0.175947 + 0.152459i
\(639\) 1.09381 + 0.563901i 0.0432706 + 0.0223076i
\(640\) 37.6846 7.26311i 1.48961 0.287099i
\(641\) −9.86502 10.3461i −0.389645 0.408648i 0.499471 0.866331i \(-0.333528\pi\)
−0.889115 + 0.457683i \(0.848679\pi\)
\(642\) 12.3187 1.17630i 0.486182 0.0464247i
\(643\) 7.38479 0.291228 0.145614 0.989341i \(-0.453484\pi\)
0.145614 + 0.989341i \(0.453484\pi\)
\(644\) 16.1475 + 8.76368i 0.636301 + 0.345337i
\(645\) 8.62463 0.339594
\(646\) −4.87817 + 0.465808i −0.191929 + 0.0183270i
\(647\) −4.17625 4.37992i −0.164185 0.172193i 0.636502 0.771275i \(-0.280381\pi\)
−0.800687 + 0.599082i \(0.795532\pi\)
\(648\) 2.51554 0.484831i 0.0988198 0.0190460i
\(649\) 30.1099 + 15.5228i 1.18192 + 0.609321i
\(650\) −29.6593 25.6999i −1.16333 1.00803i
\(651\) −13.0555 17.0248i −0.511684 0.667256i
\(652\) −17.8806 + 5.25022i −0.700258 + 0.205614i
\(653\) −1.07052 + 22.4729i −0.0418925 + 0.879433i 0.875929 + 0.482440i \(0.160249\pi\)
−0.917822 + 0.396993i \(0.870054\pi\)
\(654\) −8.00601 3.20512i −0.313060 0.125330i
\(655\) −6.57020 + 68.8063i −0.256719 + 2.68848i
\(656\) 8.95690 + 6.37818i 0.349708 + 0.249026i
\(657\) 7.18500 1.03305i 0.280313 0.0403030i
\(658\) 7.35477 6.84340i 0.286719 0.266783i
\(659\) 0.791394 + 2.69524i 0.0308283 + 0.104992i 0.973470 0.228815i \(-0.0734850\pi\)
−0.942642 + 0.333806i \(0.891667\pi\)
\(660\) 22.6915 9.08431i 0.883266 0.353606i
\(661\) −11.1221 32.1353i −0.432601 1.24992i −0.925139 0.379628i \(-0.876052\pi\)
0.492538 0.870291i \(-0.336069\pi\)
\(662\) 0.0885460 + 1.85881i 0.00344144 + 0.0722447i
\(663\) −9.93224 + 28.6973i −0.385736 + 1.11451i
\(664\) 32.4895 + 9.53978i 1.26084 + 0.370215i
\(665\) −7.45657 + 9.24733i −0.289153 + 0.358596i
\(666\) 0.0781661i 0.00302888i
\(667\) 8.65649 0.333946i 0.335181 0.0129304i
\(668\) 7.02381 + 4.05520i 0.271759 + 0.156900i
\(669\) 8.16546 + 11.4668i 0.315695 + 0.443332i
\(670\) −26.1371 + 6.34080i −1.00977 + 0.244967i
\(671\) 10.2464 8.87855i 0.395557 0.342753i
\(672\) 15.1897 + 3.12026i 0.585957 + 0.120367i
\(673\) 15.8875 18.3351i 0.612417 0.706767i −0.361831 0.932244i \(-0.617848\pi\)
0.974249 + 0.225476i \(0.0723939\pi\)
\(674\) −0.203805 0.509079i −0.00785026 0.0196090i
\(675\) −9.56612 2.32071i −0.368200 0.0893244i
\(676\) −20.3245 + 10.4780i −0.781713 + 0.403001i
\(677\) 22.2677 17.5116i 0.855819 0.673024i −0.0906272 0.995885i \(-0.528887\pi\)
0.946446 + 0.322861i \(0.104645\pi\)
\(678\) 0.700351 + 1.53356i 0.0268968 + 0.0588959i
\(679\) −27.3641 + 23.1327i −1.05014 + 0.887750i
\(680\) −7.94954 55.2903i −0.304851 2.12028i
\(681\) −6.47268 0.308332i −0.248034 0.0118153i
\(682\) −6.22369 + 25.6544i −0.238317 + 0.982357i
\(683\) −7.33718 5.77002i −0.280749 0.220784i 0.467847 0.883809i \(-0.345030\pi\)
−0.748597 + 0.663025i \(0.769272\pi\)
\(684\) −1.65691 0.319342i −0.0633534 0.0122104i
\(685\) −19.1032 29.7252i −0.729897 1.13574i
\(686\) 12.1609 6.43959i 0.464304 0.245865i
\(687\) 6.47262 22.0437i 0.246946 0.841020i
\(688\) 0.211180 + 2.21158i 0.00805117 + 0.0843156i
\(689\) 5.69298 9.86053i 0.216885 0.375656i
\(690\) −5.81572 + 12.4359i −0.221401 + 0.473425i
\(691\) −25.4259 + 14.6797i −0.967249 + 0.558441i −0.898396 0.439186i \(-0.855267\pi\)
−0.0688522 + 0.997627i \(0.521934\pi\)
\(692\) 0.0839437 + 0.0383358i 0.00319106 + 0.00145731i
\(693\) 11.5915 + 0.141439i 0.440323 + 0.00537284i
\(694\) 2.40945 + 2.78066i 0.0914616 + 0.105552i
\(695\) −23.5540 + 45.6883i −0.893453 + 1.73306i
\(696\) 4.37305 1.51353i 0.165760 0.0573701i
\(697\) 38.7610 49.2886i 1.46818 1.86694i
\(698\) 5.55134 5.82208i 0.210121 0.220369i
\(699\) −2.49362 + 3.88015i −0.0943175 + 0.146761i
\(700\) −30.4484 22.2470i −1.15084 0.840858i
\(701\) 27.3649 12.4971i 1.03356 0.472011i 0.174916 0.984583i \(-0.444035\pi\)
0.858644 + 0.512573i \(0.171307\pi\)
\(702\) 2.31260 3.24759i 0.0872834 0.122572i
\(703\) −0.0455661 + 0.113819i −0.00171856 + 0.00429275i
\(704\) −4.75811 9.22946i −0.179328 0.347848i
\(705\) −14.2498 13.5871i −0.536677 0.511720i
\(706\) −4.75811 0.684112i −0.179074 0.0257469i
\(707\) −10.4966 15.1277i −0.394765 0.568935i
\(708\) 9.41773 6.05240i 0.353940 0.227463i
\(709\) 20.2805 + 7.01915i 0.761650 + 0.263610i 0.680159 0.733065i \(-0.261911\pi\)
0.0814907 + 0.996674i \(0.474032\pi\)
\(710\) −2.54954 + 2.43098i −0.0956826 + 0.0912331i
\(711\) −3.69750 + 2.63298i −0.138667 + 0.0987443i
\(712\) 10.6769 + 18.4930i 0.400135 + 0.693055i
\(713\) 19.1394 + 33.8536i 0.716775 + 1.26783i
\(714\) 2.75460 10.7789i 0.103088 0.403389i
\(715\) 37.6281 82.3940i 1.40721 3.08136i
\(716\) 2.30670 + 9.50835i 0.0862054 + 0.355344i
\(717\) −1.45988 7.57456i −0.0545201 0.282877i
\(718\) 1.19953 0.0571408i 0.0447662 0.00213247i
\(719\) −6.55726 + 34.0223i −0.244545 + 1.26882i 0.627200 + 0.778858i \(0.284201\pi\)
−0.871745 + 0.489960i \(0.837011\pi\)
\(720\) 0.544154 3.78468i 0.0202794 0.141047i
\(721\) 2.39011 4.50049i 0.0890125 0.167607i
\(722\) 11.0272 + 7.08672i 0.410388 + 0.263740i
\(723\) 17.3450 + 22.0559i 0.645066 + 0.820268i
\(724\) −6.71582 0.641283i −0.249592 0.0238331i
\(725\) −17.7004 1.69019i −0.657377 0.0627719i
\(726\) −3.76504 4.78764i −0.139734 0.177686i
\(727\) −25.5569 16.4244i −0.947851 0.609147i −0.0272407 0.999629i \(-0.508672\pi\)
−0.920611 + 0.390482i \(0.872308\pi\)
\(728\) 30.8337 19.2881i 1.14277 0.714866i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) −3.93250 + 20.4038i −0.145548 + 0.755177i
\(731\) 12.6546 0.602814i 0.468048 0.0222959i
\(732\) −0.847934 4.39950i −0.0313406 0.162610i
\(733\) −2.78106 11.4637i −0.102721 0.423422i 0.897110 0.441807i \(-0.145662\pi\)
−0.999831 + 0.0183857i \(0.994147\pi\)
\(734\) 1.60939 3.52408i 0.0594037 0.130076i
\(735\) −14.0227 23.0369i −0.517235 0.849730i
\(736\) −26.4785 9.43322i −0.976010 0.347713i
\(737\) −20.5829 35.6507i −0.758182 1.31321i
\(738\) −6.70574 + 4.77513i −0.246842 + 0.175775i
\(739\) −35.3514 + 33.7075i −1.30042 + 1.23995i −0.347162 + 0.937805i \(0.612854\pi\)
−0.953262 + 0.302146i \(0.902297\pi\)
\(740\) −0.554602 0.191950i −0.0203876 0.00705621i
\(741\) −5.26055 + 3.38075i −0.193251 + 0.124195i
\(742\) −1.77899 + 3.77292i −0.0653086 + 0.138508i
\(743\) −52.0226 7.47972i −1.90852 0.274404i −0.916458 0.400130i \(-0.868965\pi\)
−0.992065 + 0.125726i \(0.959874\pi\)
\(744\) 15.0348 + 14.3356i 0.551202 + 0.525570i
\(745\) 6.90995 + 13.4034i 0.253161 + 0.491064i
\(746\) −2.32603 + 5.81014i −0.0851619 + 0.212724i
\(747\) 7.66691 10.7667i 0.280518 0.393932i
\(748\) 32.6596 14.9151i 1.19415 0.545351i
\(749\) 25.9963 35.5798i 0.949885 1.30006i
\(750\) 7.49613 11.6642i 0.273720 0.425916i
\(751\) −17.5242 + 18.3789i −0.639468 + 0.670654i −0.961097 0.276211i \(-0.910921\pi\)
0.321629 + 0.946866i \(0.395770\pi\)
\(752\) 3.13517 3.98670i 0.114328 0.145380i
\(753\) −19.9864 + 6.91735i −0.728343 + 0.252082i
\(754\) 3.29998 6.40106i 0.120178 0.233113i
\(755\) −51.0884 58.9591i −1.85930 2.14574i
\(756\) 1.95579 3.29404i 0.0711313 0.119803i
\(757\) −18.6144 8.50089i −0.676550 0.308970i 0.0473464 0.998879i \(-0.484924\pi\)
−0.723897 + 0.689908i \(0.757651\pi\)
\(758\) 3.30953 1.91076i 0.120207 0.0694018i
\(759\) −20.7711 3.17837i −0.753944 0.115368i
\(760\) 5.75118 9.96133i 0.208617 0.361335i
\(761\) −1.08113 11.3221i −0.0391908 0.410425i −0.993686 0.112198i \(-0.964211\pi\)
0.954495 0.298227i \(-0.0963952\pi\)
\(762\) 0.398626 1.35760i 0.0144407 0.0491805i
\(763\) −27.4642 + 13.7372i −0.994270 + 0.497321i
\(764\) 1.12349 + 1.74818i 0.0406463 + 0.0632469i
\(765\) −21.4102 4.12647i −0.774087 0.149193i
\(766\) 6.61976 + 5.20584i 0.239182 + 0.188095i
\(767\) 9.78079 40.3169i 0.353164 1.45576i
\(768\) −12.1273 0.577696i −0.437607 0.0208458i
\(769\) 1.85892 + 12.9291i 0.0670344 + 0.466235i 0.995496 + 0.0948058i \(0.0302230\pi\)
−0.928461 + 0.371429i \(0.878868\pi\)
\(770\) −11.2353 + 31.2243i −0.404892 + 1.12525i
\(771\) 5.74547 + 12.5808i 0.206918 + 0.453087i
\(772\) −9.70952 + 7.63565i −0.349453 + 0.274813i
\(773\)